{
 "cells": [
  {
   "cell_type": "markdown",
   "id": "73bd968b-d970-4a05-94ef-4e7abf990827",
   "metadata": {},
   "source": [
    "Chapter 15\n",
    "\n",
    "# 割线\n",
    "Book_3《数学要素》 | 鸢尾花书：从加减乘除到机器学习 (第二版)"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "c31413a6-1781-4a32-886b-81ea091037ff",
   "metadata": {},
   "source": [
    "这段代码的核心是通过绘制一系列割线，观察函数 $f(x) = x^2$ 在一点附近的变化趋势，并计算各割线的斜率随增量 $\\Delta X$ 的变化。割线的斜率逐渐逼近函数在该点的导数，展示出导数的几何含义。\n",
    "\n",
    "首先，定义了割线函数 $f(x) = x^2$ 并选取一个固定点 $(x_0, y_0)$，其中 $x_0 = 1$ 且 $y_0 = f(x_0) = 1$。通过改变 $x_1 = x_0 + \\Delta X$ 的值来生成多个割线，每条割线的斜率 $k$ 表示为：\n",
    "\n",
    "$$\n",
    "k = \\frac{f(x_1) - f(x_0)}{x_1 - x_0} = \\frac{y_1 - y_0}{x_1 - x_0}\n",
    "$$\n",
    "\n",
    "该公式实际是割线的斜率。随着 $\\Delta X$ 的减小，割线的终点 $x_1$ 越来越接近 $x_0$，割线的斜率 $k$ 逐渐逼近函数在 $x_0$ 处的瞬时变化率（即切线的斜率），其极限为 $f'(x_0) = 2x_0 = 2$。\n",
    "\n",
    "代码通过以下步骤实现：\n",
    "1. **绘制函数曲线**：在图上绘制 $f(x) = x^2$ 的整体形状并标记点 $(x_0, y_0)$。\n",
    "2. **生成割线**：逐步增加 $\\Delta X$ 的值，从 $0.1$ 到 $1$，以观察割线的变化。对于每个 $\\Delta X$，计算终点 $(x_1, y_1)$ 并绘制割线。\n",
    "3. **绘制割线斜率图**：在第二个图中绘制 $\\Delta X$ 与对应割线斜率 $k$ 的关系，展示斜率随 $\\Delta X$ 的减小逐渐趋近于 $2$ 的过程。\n",
    "\n",
    "通过这种可视化方法，代码揭示了割线斜率如何逐步逼近切线斜率的过程，形象地展现了导数的几何意义。"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 1,
   "id": "2941c690-aa2f-4672-9b8c-0e44a6fab9fa",
   "metadata": {},
   "outputs": [],
   "source": [
    "import numpy as np\n",
    "import matplotlib.pyplot as plt\n",
    "from matplotlib import cm  # 导入Colormaps用于颜色映射\n",
    "from sympy import latex, lambdify  # 导入latex格式化和符号函数转换\n",
    "from sympy.abc import x  # 导入符号变量x"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 2,
   "id": "1c8cc5c5-65bb-484d-be72-f029f9bda177",
   "metadata": {},
   "outputs": [],
   "source": [
    "## 定义绘制割线的函数"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 3,
   "id": "b247597d-1173-4afe-a7fa-7ca860e38e7d",
   "metadata": {},
   "outputs": [],
   "source": [
    "def plot_secant(x0, y0, x1, y1, color):\n",
    "    # 计算割线的斜率k\n",
    "    k = (y1 - y0) / (x1 - x0)\n",
    "    x = np.linspace(-1, 4, 100)  # 定义x的范围\n",
    "    secant_y_x = k * (x - x0) + y0  # 根据点斜式计算割线的y值\n",
    "    plt.plot(x, secant_y_x, color=color, linewidth=0.25)  # 绘制割线"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 4,
   "id": "03ca7c96-a3d7-4da6-a1aa-575efa5efda2",
   "metadata": {},
   "outputs": [],
   "source": [
    "## 初始化变量\n",
    "delta_Xs = np.linspace(0.1, 1, 10)  # 定义ΔX的数组，用于不同割线"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 5,
   "id": "ceca963e-4814-4a8b-b395-cb8c5003fc45",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/latex": [
       "$\\displaystyle x^{2}$"
      ],
      "text/plain": [
       "x**2"
      ]
     },
     "execution_count": 5,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "f_x = x**2  # 定义函数f(x) = x^2\n",
    "f_x"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 6,
   "id": "af26a6c9-e364-493a-bfcf-5d2cbf8c0d54",
   "metadata": {},
   "outputs": [],
   "source": [
    "x_array = np.linspace(-1, 4, 100)  # 定义x的范围\n",
    "f_x_fcn = lambdify(x, f_x)  # 将符号函数f(x)转换为数值函数\n",
    "y_array = f_x_fcn(x_array)  # 计算每个x对应的y值\n",
    "\n",
    "x0 = 1  # 定义割线起始点的x值\n",
    "y0 = f_x_fcn(x0)  # 计算f(x0)"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "9a9e22b6-0e32-4c2f-9637-9ce2abae590b",
   "metadata": {},
   "source": [
    "## 绘制函数曲线和割线"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 7,
   "id": "006a42cd-cbcf-4b6c-b8b9-d57adf67d105",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "(-1.0, 4.0)"
      ]
     },
     "execution_count": 7,
     "metadata": {},
     "output_type": "execute_result"
    },
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "<Figure size 800x800 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "fig, ax = plt.subplots(figsize=(8, 8))  # 创建绘图窗口\n",
    "\n",
    "plt.plot(x_array, y_array, color='#00448A', linewidth=1.25)  # 绘制函数f(x)曲线\n",
    "plt.plot(x0, y0, color='#92D050', marker='x', markersize=12)  # 标记点(x0, y0)\n",
    "\n",
    "colors = plt.cm.RdYlBu_r(np.linspace(0, 1, len(delta_Xs)))  # 使用颜色映射为不同割线着色\n",
    "\n",
    "for i in np.linspace(1, len(delta_Xs), len(delta_Xs)):\n",
    "    x1 = x0 + delta_Xs[int(i) - 1]  # 计算割线终点的x坐标\n",
    "    y1 = f_x_fcn(x1)  # 计算割线终点的y坐标\n",
    "    plt.plot(x1, y1, color='#00448A', marker='x', markersize=12)  # 标记割线终点\n",
    "    plot_secant(x0, y0, x1, y1, colors[int(i) - 1])  # 调用函数绘制割线\n",
    "\n",
    "plt.xlabel('X')  # 设置x轴标签\n",
    "plt.ylabel('$y = f(x)$')  # 设置y轴标签\n",
    "ax.set_title('$f(x) = %s$' % latex(f_x))  # 设置标题显示函数表达式\n",
    "ax.set_xlim(0, 2)  # 设置x轴范围\n",
    "ax.set_ylim(-1, 4)  # 设置y轴范围"
   ]
  }
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